It takes Caroline 1/5 of an hour to walk a mile. Four of Caroline's friends time themselves on their own walks of different lengths. *David: walked 1/2 of a mile in 2/5 of an hour

*Jeanette: walked 1/2 of a mile in 1/10 of an hour

*Kay: walked 1/5 of a mile in 12 of an hour

*Mark: walked 1/3 of a mile in 3/5 of an hour

Which friend is walking at the same rate as Caroline?

A. David

B. Jeanette

C. Kay

D. Mark

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Solve the equation.then check your solution 8=1.88+a